Mechanical Engineering
GATE ME topic:mechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 411–420 of 1040. Imported answers require independent review unless marked reviewed.
Question 1
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If
satisfies the differential equation
, subject to the condition
, then
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Consider an
matrix
and a non-zero
vector
. Their product
, where
and
. Based on the given information, the eigen value of
is:Your answerChoose one option.
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The value of
isYour answerChoose one option.
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If the Laplace transform of a function
is given by
, then
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The Dirac-delta function
for
, has the following property
The Laplace transform of the Dirac-delta function
for
;
isYour answerChoose one option.
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The mean and variance, respectively, of a binomial distribution for
independent trials with the probability of success as
, areYour answerChoose one option.
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The ordinary differential equation
subject to an initial condition
is solved numerically using the following scheme:
where
is the time step,
, and
. This numerical scheme is stable for all values of
in the interval ________.Your answerChoose one option.
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The Cast Iron which possesses all the carbon in the combined form as cementite is known as
Your answerChoose one option.
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Consider a binomial random variable
. If
are independent and identically distributed samples from the distribution of
with sum
, then the distribution of
as
can be approximated asYour answerChoose one option.
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The size distribution of the powder particles used in Powder Metallurgy process can be determined by
Your answerChoose one option.
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